Greatest Common Factor of 7692 and 7697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7692, 7697 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7692 and 7697 is 1.

GCF(7692,7697) = 1

GCF of 7692 and 7697

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7692 and 7697

GCF of 7692 and 7697 is 1

Prime Factorization of 7692


2 7692
2 3846
3 1923
641 641
1

Prime factors of 7692 are 2,3,641. Prime factorization of 7692 in exponential form is:

7692 = 22×31×6411

Prime Factorization of 7697


43 7697
179 179
1

Prime factors of 7697 are 43,179. Prime factorization of 7697 in exponential form is:

7697 = 431×1791

∴ So by taking common prime factors GCF of 7692 and 7697 is 1

Greatest Common Factor of 7692 and 7697 by matching factors method

Factors of 7692

List of positive integer factors of 7692 that divides 7692 without a remainder.

1,2,3,4,6,12,641,1282,1923,2564,3846,7692

Factors of 7697

List of positive integer factors of 7697 that divides 7697 without a remainder.

1,43,179,7697

Greatest Common Factor

We found the factors and prime factorization of 7692 and 7697. The biggest common factor number is the GCF number.
So the greatest common factor 7692 and 7697 is 1.

Also check out the Least Common Multiple of 7692 and 7697

Properties of GCF 7692 and 7697

(i) The GCF of 7692 and 7697 is associative

GCF of 7692 and 7697 = GCF of 7697 and 7692

Related Greatest Common Factor of 7692

Related Greatest Common Factor of 7697

Frequently Asked Questions on GCF of 7692 and 7697

1. What is the GCF of 7692 and 7697?

Answer: GCF of 7692 and 7697 is 1.

2. What are the Factors of 7692?

Answer: Factors of 7692 are 1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, 7692. There are 12 integers that are factors of 7692. The greatest factor of 7692 is 7692.

3. What are the Factors of 7697?

Answer: Factors of 7697 are 1, 43, 179, 7697. There are 4 integers that are factors of 7697. The greatest factor of 7697 is 7697.

4. How to Find the GCF of 7692 and 7697?

Answer:

Greatest Common Factor of 7692 and 7697 = 1

Step 1: Find the prime factorization of 7692

7692 = 2 x 2 x 3 x 641

Step 2: Find the prime factorization of 7697

7697 = 43 x 179

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 7692 and 7697 is 1